%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM693^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:24 AM UTC 2026 % Result : Theorem 120.85s 121.04s % Output : Proof 120.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM693^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:56:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 120.85/121.04 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 120.85/121.04 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 120.85/121.04 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 120.85/121.04 % SZS status Theorem % 120.85/121.04 % SZS output start Proof % 120.85/121.04 ( % 120.85/121.04 (declare-sort tptp.nat 0) % 120.85/121.04 (declare-const tptp.x tptp.nat) % 120.85/121.04 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 120.85/121.04 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 120.85/121.04 (declare-const tptp.n_1 tptp.nat) % 120.85/121.04 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 120.85/121.04 (define @t1 () (@var "Xa" Bool)) % 120.85/121.04 (define @t2 () (@var "Xx_0" tptp.nat)) % 120.85/121.04 (define @t3 () (_ tptp.suc @t2)) % 120.85/121.04 (define @t4 () (@var "Xx" tptp.nat)) % 120.85/121.04 (define @t5 () (= @t4 @t3)) % 120.85/121.04 (define @t6 () (not @t5)) % 120.85/121.04 (define @t7 () (@list @t2)) % 120.85/121.04 (define @t8 () (forall @t7 @t6)) % 120.85/121.04 (define @t9 () (not @t8)) % 120.85/121.04 (define @t10 () (not (= @t4 tptp.n_1))) % 120.85/121.04 (define @t11 () (=> @t10 @t9)) % 120.85/121.04 (define @t12 () (@list @t4)) % 120.85/121.04 (define @t13 () (forall @t12 @t11)) % 120.85/121.04 (define @t14 () (@var "Xy" tptp.nat)) % 120.85/121.04 (define @t15 () (_ (_ tptp.pl @t4) @t14)) % 120.85/121.04 (define @t16 () (_ (_ tptp.more @t15) @t4)) % 120.85/121.04 (define @t17 () (forall (@list @t4 @t14) @t16)) % 120.85/121.04 (define @t18 () (_ (_ tptp.pl tptp.n_1) @t4)) % 120.85/121.04 (define @t19 () (_ tptp.suc @t4)) % 120.85/121.04 (define @t20 () (= @t19 @t18)) % 120.85/121.04 (define @t21 () (forall @t12 @t20)) % 120.85/121.04 (define @t22 () (= tptp.x tptp.n_1)) % 120.85/121.04 (define @t23 () (_ (_ tptp.more tptp.x) tptp.n_1)) % 120.85/121.04 (define @t24 () (not @t23)) % 120.85/121.04 (define @t25 () (=> @t24 @t22)) % 120.85/121.04 (define @t26 () (not @t25)) % 120.85/121.04 (define @t27 () (tptp.pl @t4 @t14)) % 120.85/121.04 (define @t28 () (tptp.more @t27 @t4)) % 120.85/121.04 (define @t29 () (tptp.suc @t2)) % 120.85/121.04 (define @t30 () (forall @t7 (not (= tptp.x @t29)))) % 120.85/121.04 (define @t31 () (@quantifiers_skolemize @t30 0)) % 120.85/121.04 (define @t32 () (tptp.pl tptp.n_1 @t4)) % 120.85/121.04 (define @t33 () (tptp.suc @t4)) % 120.85/121.04 (define @t34 () (not (forall @t7 (not (= @t4 @t29))))) % 120.85/121.04 (define @t35 () (= tptp.n_1 @t4)) % 120.85/121.04 (define @t36 () (not @t35)) % 120.85/121.04 (define @t37 () (not @t30)) % 120.85/121.04 (define @t38 () (or (= tptp.n_1 tptp.x) @t37)) % 120.85/121.04 (define @t39 () (forall @t12 (or @t35 @t34))) % 120.85/121.04 (define @t40 () (or @t22 @t37)) % 120.85/121.04 (define @t41 () (tptp.more tptp.x tptp.n_1)) % 120.85/121.04 (define @t42 () (= tptp.x (tptp.suc @t31))) % 120.85/121.04 (define @t43 () (not (not @t42))) % 120.85/121.04 (assume @p1 (forall (@list @t1) (=> (not (not @t1)) @t1))) % 120.85/121.04 (assume @p2 @t13) % 120.85/121.04 (assume @p3 @t17) % 120.85/121.04 (assume @p4 @t21) % 120.85/121.04 (assume @p5 @t26) % 120.85/121.04 (assume @p6 true) % 120.85/121.04 (step @p7 :rule evaluate :args ((= false true))) % 120.85/121.04 (step @p8 :rule refl :args ((tptp.more @t15 @t4))) % 120.85/121.04 (step @p9 :rule refl :args (@t4)) % 120.85/121.04 (step @p10 :rule refl :args (@t27)) % 120.85/121.04 (step @p11 :rule cong :premises (@p10 @p9) :args (@t28)) % 120.85/121.04 (step @p12 :rule trans :premises (@p11 @p8)) % 120.85/121.04 (step @p13 :rule refl :args (tptp.more)) % 120.85/121.04 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 120.85/121.04 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 120.85/121.04 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ (_ tptp.more @t27) @t4) @t28))) % 120.85/121.04 (step @p17 :rule symm :premises (@p16)) % 120.85/121.04 (step @p18 :rule refl :args (@t16)) % 120.85/121.04 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 120.85/121.04 (step @p20 :rule refl :args (@t15)) % 120.85/121.04 (step @p21 :rule cong :premises (@p20 @p10) :args ((= @t15 @t27))) % 120.85/121.04 (step @p22 :rule symm :premises (@p21)) % 120.85/121.04 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 120.85/121.04 (step @p24 :rule ho_cong :premises (@p13 @p23)) % 120.85/121.04 (step @p25 :rule ho_cong :premises (@p24 @p9)) % 120.85/121.04 (step @p26 :rule trans :premises (@p25 @p19)) % 120.85/121.04 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 120.85/121.04 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 120.85/121.04 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.n_1 @t31))) % 120.85/121.04 (step @p30 :rule true_intro :premises (@p29)) % 120.85/121.04 (step @p31 :rule refl :args (tptp.n_1)) % 120.85/121.04 (step @p32 :rule refl :args (@t32)) % 120.85/121.04 (step @p33 :rule refl :args (@t18)) % 120.85/121.04 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t18 @t32))) % 120.85/121.04 (step @p35 :rule symm :premises (@p34)) % 120.85/121.04 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 120.85/121.04 (step @p37 :rule refl :args (@t33)) % 120.85/121.04 (step @p38 :rule refl :args (@t19)) % 120.85/121.04 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t19 @t33))) % 120.85/121.04 (step @p40 :rule symm :premises (@p39)) % 120.85/121.04 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 120.85/121.04 (step @p42 :rule cong :premises (@p41 @p36) :args (@t20)) % 120.85/121.04 (step @p43 :rule cong :premises (@p42) :args (@t21)) % 120.85/121.04 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 120.85/121.04 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t31))) % 120.85/121.04 (step @p46 :rule refl :args (@t34)) % 120.85/121.04 (step @p47 :rule bool-double-not-elim :args (@t35)) % 120.85/121.04 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t36) @t34))) % 120.85/121.04 (step @p49 :rule bool-impl-elim :args (@t36 @t34)) % 120.85/121.04 (step @p50 :rule trans :premises (@p49 @p48)) % 120.85/121.04 (step @p51 :rule cong :premises (@p50) :args ((forall @t12 (=> @t36 @t34)))) % 120.85/121.04 (step @p52 :rule refl :args (@t29)) % 120.85/121.04 (step @p53 :rule refl :args (@t3)) % 120.85/121.04 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t3 @t29))) % 120.85/121.04 (step @p55 :rule symm :premises (@p54)) % 120.85/121.04 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 120.85/121.04 (step @p57 :rule cong :premises (@p9 @p56) :args (@t5)) % 120.85/121.04 (step @p58 :rule cong :premises (@p57) :args (@t6)) % 120.85/121.04 (step @p59 :rule cong :premises (@p58) :args (@t8)) % 120.85/121.04 (step @p60 :rule cong :premises (@p59) :args (@t9)) % 120.85/121.04 (step @p61 :rule eq-symm :args (@t4 tptp.n_1)) % 120.85/121.04 (step @p62 :rule cong :premises (@p61) :args (@t10)) % 120.85/121.04 (step @p63 :rule cong :premises (@p62 @p60) :args (@t11)) % 120.85/121.04 (step @p64 :rule cong :premises (@p63) :args (@t13)) % 120.85/121.04 (step @p65 :rule trans :premises (@p64 @p51)) % 120.85/121.04 (step @p66 :rule eq_resolve :premises (@p2 @p65)) % 120.85/121.04 (step @p67 :rule refl :args (@t37)) % 120.85/121.04 (step @p68 :rule eq-symm :args (tptp.n_1 tptp.x)) % 120.85/121.04 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t38)) % 120.85/121.04 (step @p70 :rule refl :args (@t39)) % 120.85/121.04 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t39 @t38))) % 120.85/121.04 (assume-push @p113 @t39) % 120.85/121.04 (step @p73 :rule instantiate :premises (@p66) :args ((@list tptp.x))) % 120.85/121.04 (step-pop @p114 :rule scope :premises (@p73)) % 120.85/121.04 (step @p74 :rule process_scope :premises (@p114) :args (@t38)) % 120.85/121.04 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 120.85/121.04 (step @p77 :rule implies_elim :premises (@p76)) % 120.85/121.04 (step @p78 :rule chain_m_resolution :premises (@p77 @p66) :args (@t40 (@list false) (@list @t39))) % 120.85/121.04 (step @p79 :rule refl :args (@t22)) % 120.85/121.04 (step @p80 :rule refl :args (@t41)) % 120.85/121.04 (step @p81 :rule refl :args (@t23)) % 120.85/121.04 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t23 @t41))) % 120.85/121.04 (step @p83 :rule symm :premises (@p82)) % 120.85/121.04 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 120.85/121.04 (step @p85 :rule cong :premises (@p84) :args (@t24)) % 120.85/121.04 (step @p86 :rule cong :premises (@p85 @p79) :args (@t25)) % 120.85/121.04 (step @p87 :rule cong :premises (@p86) :args (@t26)) % 120.85/121.04 (step @p88 :rule eq_resolve :premises (@p5 @p87)) % 120.85/121.04 (step @p89 :rule not_implies_elim2 :premises (@p88)) % 120.85/121.04 (step @p90 :rule cnf_or_pos :args (@t40)) % 120.85/121.04 (step @p91 :rule reordering :premises (@p90) :args ((or @t22 @t37 (not @t40)))) % 120.85/121.04 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p78) :args (@t37 (@list true false) (@list @t22 @t40))) % 120.85/121.04 (step @p93 :rule refl :args (@t42)) % 120.85/121.04 (step @p94 :rule bool-double-not-elim :args (@t30)) % 120.85/121.04 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t37) @t42))) % 120.85/121.04 (step @p96 :rule bool-double-not-elim :args (@t42)) % 120.85/121.04 (step @p97 :rule cong :premises (@p67 @p96) :args ((=> @t37 @t43))) % 120.85/121.04 (assume-push @p115 @t37) % 120.85/121.04 (step @p99 :rule skolemize :premises (@p92)) % 120.85/121.04 (step-pop @p116 :rule scope :premises (@p99)) % 120.85/121.04 (step @p100 :rule process_scope :premises (@p116) :args (@t43)) % 120.85/121.04 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 120.85/121.04 (step @p103 :rule implies_elim :premises (@p102)) % 120.85/121.04 (step @p104 :rule eq_resolve :premises (@p103 @p95)) % 120.85/121.04 (step @p105 :rule chain_m_resolution :premises (@p104 @p92) :args (@t42 (@list true) (@list @t30))) % 120.85/121.04 (step @p106 :rule trans :premises (@p105 @p45)) % 120.85/121.04 (step @p107 :rule cong :premises (@p106 @p31) :args (@t41)) % 120.85/121.04 (step @p108 :rule not_implies_elim1 :premises (@p88)) % 120.85/121.04 (step @p109 :rule false_intro :premises (@p108)) % 120.85/121.04 (step @p110 :rule symm :premises (@p109)) % 120.85/121.04 (step @p111 :rule trans :premises (@p110 @p107 @p30)) % 120.85/121.04 (step @p112 false :rule eq_resolve :premises (@p111 @p7)) % 120.85/121.04 ) % 120.85/121.04 % SZS output end Proof % 120.85/121.04 % cvc5 exiting %------------------------------------------------------------------------------